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  • Solve this problem - Mathematical reasoning - JEE Main-3

For any two statements p and q , the negation of the expression p\vee \left ( \sim p\wedge q \right ) is :

 

  • Option 1)

     \sim p\; \wedge \sim q     

  • Option 2)

    p\; \wedge q       

  • Option 3)

     p\; \leftrightarrow q

  • Option 4)

     \sim p\; \vee \sim q

Answers (1)

p\vee \left ( \sim p\wedge q \right )

=\left ( p\vee \sim p \right )\wedge \left ( p\vee q \right )

=\; p\vee q

\sim \left ( p\vee q \right )=\sim p\wedge \sim q


Option 1)

 \sim p\; \wedge \sim q     

Option 2)

p\; \wedge q       

Option 3)

 p\; \leftrightarrow q

Option 4)

 \sim p\; \vee \sim q

Posted by

Vakul

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